$(2\mathrm{.}5$ pts$.)$ Draw the tree for a put option on $$20,000$ with a strike price of $10,000.$ The current exchange rate is $1\mathrm{.}00=$$$2\mathrm{.}00$ and in one period the dollar value of the pound will either double or be cut in half. The current interest rates are $i_{\text{\$}}=3\%$ and are $i_{}=2\%.$